The invention discloses a pinion and rack type method for continuously drawing products in multiple section shapes and a drawing machine. The drawing machine is mainly composed of a machine frame, a die device, a die device adjusting mechanism, a machine frame guide device, a first drawing trolley, a second drawing trolley, first pinions, first racks, drawing trolley guide sliding blocks, second pinions, second racks, a first product clamping device, a second product clamping device, a movement guide rail, a motor and an electric drive and control system. The mold device and a discharging guide device are arranged at the two ends of the machine frame. The drawing trolleys are arranged between the mold device and the discharging guide device. The two sides of each drawing trolley are provided with two racks correspondingly. The racks cooperate with the corresponding pinions to move. Each pinion group is fixedly installed on the machine frame. A PLC controls the positions, speeds and drawing forces of the drawing trolleys according to the positions of the drawing trolleys and a speed data instruction and controls the drawing trolleys to conduct accurate closed loop movement, the motion process that the two trolleys are mutually independent and also mutually correlative is achieved, and the purposes that the drawing force is uniform and controllable and return is rapid are achieved.